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20246513100 = 223521134717681
BaseRepresentation
bin10010110110110010…
…010100010111001100
31221021000101102122120
4102312302110113030
5312431101404400
613145013012540
71314504343662
oct226662242714
957230342576
1020246513100
11864a6a0a60
123b10624150
131ba8799188
14da0d34c32
157d7711ca0
hex4b6c945cc

20246513100 has 144 divisors (see below), whose sum is σ = 64093147776. Its totient is φ = 4893824000.

The previous prime is 20246513081. The next prime is 20246513129. The reversal of 20246513100 is 131564202.

It is a super-2 number, since 2×202465131002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1136260 + ... + 1153940.

It is an arithmetic number, because the mean of its divisors is an integer number (445091304).

Almost surely, 220246513100 is an apocalyptic number.

20246513100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20246513100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32046573888).

20246513100 is an abundant number, since it is smaller than the sum of its proper divisors (43846634676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20246513100 is a wasteful number, since it uses less digits than its factorization.

20246513100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18056 (or 18049 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 20246513100 in words is "twenty billion, two hundred forty-six million, five hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 347 550 660 694 825 1041 1100 1388 1650 1735 2082 3300 3470 3817 4164 5205 6940 7634 8675 10410 11451 15268 17350 17681 19085 20820 22902 26025 34700 35362 38170 45804 52050 53043 57255 70724 76340 88405 95425 104100 106086 114510 176810 190850 194491 212172 229020 265215 286275 353620 381700 388982 442025 530430 572550 583473 777964 884050 972455 1060860 1145100 1166946 1326075 1768100 1944910 2333892 2652150 2917365 3889820 4862275 5304300 5834730 6135307 9724550 11669460 12270614 14586825 18405921 19449100 24541228 29173650 30676535 36811842 58347300 61353070 67488377 73623684 92029605 122706140 134976754 153382675 184059210 202465131 269953508 306765350 337441885 368118420 404930262 460148025 613530700 674883770 809860524 920296050 1012325655 1349767540 1687209425 1840592100 2024651310 3374418850 4049302620 5061628275 6748837700 10123256550 20246513100